When an inductor of inductance $L = \frac{6}{\pi} \ H$, a capacitor of capacitance $C = \frac{50}{\pi} \ \mu F$ and a resistor of resistance $R$ are connected in series with an $AC$ supply of rms voltage $V_{rms} = 220 \ V$ and frequency $f = 50 \ Hz$, the rms current through the circuit is $I_{rms} = 440 \ mA$. Match the inductive reactance $X_L$, the capacitive reactance $X_C$, the resistance $R$, and the impedance $Z$ of the circuit given in List-$I$ with the corresponding values given in List-$II$.
List-$I$List-$II$
$(A) \ X_L$$(i) \ 200 \ \Omega$
$(B) \ X_C$$(ii) \ 300 \ \Omega$
$(C) \ R$$(iii) \ 500 \ \Omega$
$(D) \ Z$$(iv) \ 600 \ \Omega$

  • A
    $A$-(iv), $B$-(ii), $C$-(i), $D$-(iii)
  • B
    $A$-(iv), $B$-(iii), $C$-(i), $D$-(ii)
  • C
    $A$-(iv), $B$-(i), $C$-(ii), $D$-(iii)
  • D
    $A$-(i), $B$-(iv), $C$-(iii), $D$-(ii)

Explore More

Similar Questions

Assertion: Ohm's law cannot be applied to $a.c.$ circuits.
Reason: Resistance offered by a capacitor for an $a.c.$ source depends upon the frequency of the source.

In an $A.C.$ circuit,the current:

Match List-$I$ with List-$II$ and choose the correct answer from the options given below:
List-$I$List-$II$
$A$. Purely capacitive circuit$I$. $I$ leads $V$ by $90^{\circ}$
$B$. Purely inductive circuit$II$. $I$ and $V$ are in phase
$C$. $LCR$ series at resonance$III$. $V$ leads $I$ by angle $\theta$
$D$. $LCR$ series circuit$IV$. $V$ leads $I$ by $90^{\circ}$

An inductor stores $16 \ J$ of magnetic field energy and dissipates $32 \ W$ of thermal energy due to its resistance when an $A.C.$ current of $2 \ A$ $(rms)$ and frequency $50 \ Hz$ flows through it. The ratio of inductive reactance to its resistance is . . . . . . . $(\pi=3.14)$

$A$ coil,a capacitor,and an $AC$ source of $rms$ voltage $24 \,V$ are connected in series. By varying the frequency of the source,a maximum $rms$ current of $6 \,A$ is observed. If the coil is connected to a battery of $emf$ $12 \,V$ and internal resistance $4 \,\Omega$,then the current through it in the steady state is......$A$

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo